You have opened up a new chain of car washes, with t locations spaced in the city. There are n people registered to come on opening day, and they are all living around the city. You want to tell everyone which location to go to such that:Each person doesn’t drive more than 30 minutes to get to their assigned location. You can assume that you can calculate the transit time.The people are distributed evenly such that each location has n/t people attending on opening day. You can assume n divides equally into t.a) Describe an algorithm that checks if this is possible. Clearly describe what you are checking for to see if this is possible.b) Please briefly justify how you’ve handled the constraints and why your approach is correct.c) If possible, describe how to choose where to send each of the n people.

Algorithm: An algorithm is a set of step-by-step instructions designed to solve a problem or…

Answered: You have opened up a new chain of car…

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter21: Simulation

Section21.5: Simulations With Continuous Random Variables

Problem 7P

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You have opened up a new chain of car washes, with t locations spaced in the city. There are n people registered to come on opening day, and they are all living around the city. You want to tell everyone which location to go to such that:

- Each person doesn’t drive more than 30 minutes to get to their assigned location. You can assume that you can calculate the transit time.
- The people are distributed evenly such that each location has n/t people attending on opening day. You can assume n divides equally into t.
a) Describe an algorithm that checks if this is possible. Clearly describe what you are checking for to see if this is possible.
b) Please briefly justify how you’ve handled the constraints and why your approach is correct.
c) If possible, describe how to choose where to send each of the n people.

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